Find the value of x in each triangle with the given angle measures.

Answer:

[tex]b = 3[/tex]

The value of y triples

Step-by-step explanation:

Given:

[tex]\begin{array}{cccccc}x & {-2} & {-1} & {0} & {1} & {2} \ \\ y & {\frac{2}{9}} & {\frac{2}{3}} & {2} & {6} & {18} \ \end{array}[/tex]

Required

Determine b value

An exponential equation is:

[tex]y = ab^x[/tex]

When [tex]x = 0; y =2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]2 = a * b^0[/tex]

[tex]2 = a[/tex]

[tex]a = 2[/tex]

When [tex]x = 2; y = 18[/tex]

So:

[tex]18 = a * b^2[/tex]

Substitute 2 for a

[tex]18 = 2 * b^2[/tex]

Divide by 2

[tex]9 = b^2[/tex]

Take positive square roots of both sides

[tex]3 = b[/tex]

[tex]b = 3[/tex]

Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]

Step-by-step explanation:

Given

x and y is in the fourth quadrant

[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]

we know,

[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]

using  [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]

[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]

[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]

Answer:

|x-5|=2

Step-by-step explanation:

1- Find the mid value between the given numbers 3 and 7

(3+7)/2= 10/2 = 5

2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.

|5-3|= 2 or |7-5|=2

3- Arrange the absolute equation like this:

|x-mid value from step 1|= absolute difference from step 2

|x-5|=2

4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2

|3-5|=2 correct

|7-5|=2 correct

Answer:

The answer is 122

Step-by-step explanation: 0.25 is the constant proportionality in this equation .

let meh know if you need more answers ✨✨

Answer:

1222

Step-by-step explanation:

Answer:

21÷-3=-7

I dont know what all those extra boxes are for but I hope I helped a little

Answer:

y=153/1000x

Step-by-step explanation:

Answer:y=153/1000x

Step-by-step explanation:

Answer:

B) (x-3)^2=21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .

Answer:

Step-by-step explanation:

The shapes have the same height, but the base of the rectangle is half the base of the triangle. They have the same area.

:::::

area of rectangle = base × height = 4 units × 6 units = 24 units²

:::::

area of triangle = ½×base×height = ½×8 units × 6 units = 25 units²

:::::

The triangle looks bigger, but isn't. Shape affects area.

Answer:

7

Step-by-step explanation:

Answer:

4 and 1

Step-by-step explanation:

theyre beside each other

Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

Answer:

Ella since it is m cubed in brackets X 5 and the 3 is not affected so stays as a 3

Answer:

Ella

Step-by-step explanation:

Ella, because 5(m times m times m)-3 is the same as 5m^3- 3, just expanded.

Answer:

I got- 18.2

Step-by-step explanation:

I have this on a exam im working on right now.

The perimeter of the hexagon is 12 + 2√5 + √2

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) an (c, d) are the two points.

We have,

Hexagon PQRSTU.

Vertices.

P = (–1, 0)
Q = (–1, 3)

R = (1, 4)

S = (2, 5)

T = (4, 4)

U = (4, 0)

Now,

We can make 6 lines.

PQ, QR, RS, ST, TU, and PU

We find the distance between each line.

PQ = [tex]\sqrt{(-1 + 1)^2 + (3 - 0)^2}[/tex] = 3

QR = [tex]\sqrt{(1 + 1)^2 + (4 - 3)^2}[/tex] = √5

RS = [tex]\sqrt{(2 - 1)^2 + (5 - 4)^2}[/tex] = √2

ST = [tex]\sqrt{(4 - 2)^2 + (4 - 5)^2}[/tex] = √5

TU = [tex]\sqrt{(4 - 4)^2 + (0 - 4)^2}[/tex] = 4

PU = [tex]\sqrt{(4 + 1)^2 + (0 - 0)^2}[/tex] = 5

Now,

The perimeter of the hexagon.

= 3 + √5 + √2 + √5 + 4 + 5

= 12 + 2√5 + √2

Thus,

The perimeter of the hexagon is 12 + 2√5 + √2

Learn more about distance of a line here:

https://brainly.com/question/14645718

#SPJ6

Answer:

18.65

Step-by-step explanation:

Answer:

4 more hours

Step-by-step explanation:

First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.

Hope this helps

Answer: hey mate i have you answer

Step-by-step explanation: Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Answer:

Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Step-by-step explanation:

Answer: (75, 135)

Step-by-step explanation:

Because the empirical rule is 3 standard deviations of the mean you would add and subtract to get your desired interval.

In this case our mean is 105 and our deviation is 10.

What you would do is add 10 to 105, 3 times to find your greatest number and the you would subtract 10 from 105, 3 times to get your lowest number.

105 + 10 + 10 + 10 = 135

105 - 10 - 10 - 10 = 75

Answer: (75, 135)

Answer:

Step-by-step explanation:

The answer is 85,125

Answer:

3/8

Step-by-step explanation:

Answer:

(-1 , 2)

Step-by-step explanation:

Answer:

Really?

Step-by-step explanation:

Answer:

Ik

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Diagonals in a kite are perpendicular. I just learned this. Mark Brainliest if you get it right!!!

Answer:

2x² + 2x +3x +3= 2x² + 5x + 3

Answer:

37.7 (approx.)

Step-by-step explanation:

The radius of the biggest circle is 3+2=5. And so the area is [tex]\pi (5)^2 = 78.54[/tex]. In the same way, the area of the two small circles are [tex]\pi (3)^2 = 28.27[/tex] and [tex]\pi (2)^2 = 12.57[/tex]

So, the area of shaded region = Area of the biggest circle - (area of small two circles)

[tex]= 78.54 - (28.27 + 12.57)\\37.7 (approx.)[/tex]